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Finding the Fourth Proportional to 5,681.89, 8,513.43 and 3,461.32

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Solution

The fourth proportional to 5,681.89, 8,513.43 and 3,461.32 is: 5,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.89 : 8,513.43 = 3,461.32 : x
  2. Step 2: Convert to fraction form
    5,681.89/8,513.43 = 3,461.32/x
  3. Step 3: Cross multiply
    5,681.89x = 8,513.43 × 3,461.32
  4. Step 4: Simplify right side
    5,681.89x = 29,467,705.53
  5. Step 5: Solve for x
    x = 29,467,705.53/5,681.89
  6. Step 6: Final answer
    x = 5,186.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.